Eventually simple IAPS

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ANALOGY: This is an analogue in IAPS of a property encountered in group. Specifically, it is a IAPS property analogous to the group property: simple group
View other analogues of simple group | View other analogues in IAPSs of group properties (OR, View as a tabulated list)

This article defines a property that can be evaluated for an IAPS of groups

Definition

Let $(G,\Phi )$ be an IAPS of groups. It is said to be eventually simple if there exists a $N$ such that for all $n\geq N$, $G_{n}$ is a simple group.

Relation with other properties

Weaker properties

• p-simple IAPS
• i-simple IAPS